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Yuki888 [10]
2 years ago
12

Can someone explain this

Mathematics
1 answer:
postnew [5]2 years ago
7 0

Step-by-step explanation:

n-4≥13

n≥13+4

n≥17

point the no. 17 in the number line.

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Find the area of the regular polygon. Round to the nearest tenth.
mojhsa [17]

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}

where s is side length and n is number of sides.

$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}

$a=\frac{6}{ \tan (30^\circ)}

$a=\frac{6}{ \frac{1}{\sqrt{3} }}

$a=6\sqrt{3}

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )

$A=\frac{1}{2}(72)(6\sqrt{3} )

A=216 \sqrt{3}

A=374.1 in²

The area of the regular polygon is 374.1 in².

4 0
3 years ago
If varies inversely as . It is known that = 10 when = 3, find the value of when = 5.
Leto [7]

Answer:

y = 6

Step-by-step explanation:

If x varies inversely proportional as y.

x=\dfrac{k}{y}, k is constant of proportionality

or

k = xy

When x = 3 and y = 10

k = 3×10

k = 30

Put x = 5,

y=\dfrac{k}{x}\\\\y=\dfrac{30}{5}\\\\y=6

So, the value of y is 6 when x is 5.

8 0
2 years ago
Classify each triangle by its sides.
Free_Kalibri [48]

Answer:

1

Step-by-step explanation:

None of the sides are equal. Isosceles means that 2 sides are equal. Equilateral means that all sides are equal.

3 0
2 years ago
What is the sum of the answers to the eqation?<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%205%2
MAVERICK [17]

Answer:

6

Step-by-step explanation:

x^{2} - 6x +5 = 0

x^{2} - 6x + 9 -9 +5 = 0

[x^{2} - 6x + 9] - 4 =0

(x -3)^{2} -4 = 0

(x -3)^{2} = 4

(x-3) = \sqrt{4} or (x-3) = - \sqrt{4}

(x-3) = 2 or (x-3) = -2

x = 5 or x = 1

therefore, sum of these solutions is 5+1 = 6

4 0
3 years ago
Read 2 more answers
This year, a herd of bison had 10% increase in population. If there was 550 bison in the herd last year, how many are in the her
sattari [20]

Answer: 605

Step-by-step explanation:

Last year            This year

550 x 1.1      =     605

7 0
3 years ago
Read 2 more answers
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